# the number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is

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## The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ? a 2800 b 4000 c 5500 d 7000

The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ? a 2800 b 4000 c 5500 d 7000

Byju's Answer Standard X Mathematics

Circumference of a Circle

The radius of... Question

The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ?

(a) 2800 (b) 4000 (c) 5500 (d) 7000

Open in App Solution Radius = 0.25 m Circumference = 2 π r = 2 × 22 7 × 0.25 m No:of revolutions = total distance circumference = 11000 × 7 2 × 22 × 0. 25 = 7000 revolutions Suggest Corrections 218

SIMILAR QUESTIONS

**Q.**The radius of a wheel is 0.25 m. The number of revolutions it will make to travel a distance of 11 km will be

(a) 2800 (b) 4000 (c) 5500 (d) 7000

**Q.**The radius of a circular wheel is

1.75 m

. The number of revolutions that it will make in covering

11 k m s is:

**Q.**The radius of a circular wheel is

1 3 4 m

. How many revolutions will it make in traveling

11 k m ?

**Q.**The radius of a circular wheel is 1.75 m. How many revolutions will it make in travelling 11 km?

(a) 10 (b) 100 (c) 1000 (d) 10000

**Q.**The radius of a wheel is

0.25 m

. How many rounds will it take to complete the distance of

11 k m ? View More RELATED VIDEOS

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Standard X Mathematics

## The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.

Advertisement Remove all ads MCQ Fill in the Blanks

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.

### OPTIONS

2800 4000 5500 7000 Advertisement Remove all ads

### SOLUTION

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is **7000**.

**Explanation:**

Here,

Number of revolutions =

Total distance

Distance covered inrevolution

Total distanceDistance covered in 1 revolution

Given, Radius = 0.25 m

Total Distance = 11 km = 11,000 m

Therefore,

Distance covered in one revolution = Circumference of wheel

= 2πr = 2×227×0.25 = 2×227×14 = 117 m Now,

Number of revolutions =

Total distance

Distance covered inrevolution

Total distanceDistance covered in 1 revolution

= 11000117 = 11000×711 = 1000 × 7 = 7000

Concept: Areas of Sector and Segment of a Circle

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## [MCQ] The number of revolutions made by a circular wheel of radius

Question 15 The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000 Here, Number of revolutions = (𝑻𝒐𝒕𝒂𝒍 𝒅𝒊𝒔𝒕𝒂𝒏𝒄𝒆)/(𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝒄𝒐𝒗𝒆𝒓𝒆𝒅 𝒊𝒏 𝟏 𝒓𝒆𝒗𝒐𝒍𝒖𝒕𝒊𝒐𝒏) Given Radius = 0.25 m, Total Distance = 11 km The

**Check sibling questions**

## Question 15 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at March 16, 2023 by Teachoo

## The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is

The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000

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### Transcript

Question 15 The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000 Here, Number of revolutions = (𝑻𝒐𝒕𝒂𝒍 𝒅𝒊𝒔𝒕𝒂𝒏𝒄𝒆)/(𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝒄𝒐𝒗𝒆𝒓𝒆𝒅 𝒊𝒏 𝟏 𝒓𝒆𝒗𝒐𝒍𝒖𝒕𝒊𝒐𝒏) Given Radius = 0.25 m, Total Distance = 11 km Therefore, Distance covered in one revolution = Circumference of wheel = 2𝜋r = 2 × 22/7 × 0.25 = 2 × 22/7 × 1/4 = 𝟏𝟏/𝟕 m Now, Number of revolutions = (𝑇𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒)/(𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑐𝑜𝑣𝑒𝑟𝑒𝑑 𝑖𝑛 1 𝑟𝑒𝑣𝑜𝑙𝑢𝑡𝑖𝑜𝑛) = 11000/(11/7) = 11000 ×7/11 = 1000 × 7 = 7000 So, the correct answer is (d)

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### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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